[{"type":"journal_article","citation":{"ista":"Dubach G, Erdös L. 2023. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 28, 1–13.","mla":"Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.” <i>Electronic Communications in Probability</i>, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–13, doi:<a href=\"https://doi.org/10.1214/23-ECP516\">10.1214/23-ECP516</a>.","chicago":"Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.” <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics, 2023. <a href=\"https://doi.org/10.1214/23-ECP516\">https://doi.org/10.1214/23-ECP516</a>.","ama":"Dubach G, Erdös L. Dynamics of a rank-one perturbation of a Hermitian matrix. <i>Electronic Communications in Probability</i>. 2023;28:1-13. doi:<a href=\"https://doi.org/10.1214/23-ECP516\">10.1214/23-ECP516</a>","ieee":"G. Dubach and L. Erdös, “Dynamics of a rank-one perturbation of a Hermitian matrix,” <i>Electronic Communications in Probability</i>, vol. 28. Institute of Mathematical Statistics, pp. 1–13, 2023.","short":"G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.","apa":"Dubach, G., &#38; Erdös, L. (2023). Dynamics of a rank-one perturbation of a Hermitian matrix. <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/23-ECP516\">https://doi.org/10.1214/23-ECP516</a>"},"file":[{"checksum":"a1c6f0a3e33688fd71309c86a9aad86e","relation":"main_file","content_type":"application/pdf","date_updated":"2023-02-27T09:43:27Z","file_size":479105,"file_name":"2023_ElectCommProbability_Dubach.pdf","success":1,"access_level":"open_access","file_id":"12692","date_created":"2023-02-27T09:43:27Z","creator":"dernst"}],"article_type":"original","ddc":["510"],"status":"public","has_accepted_license":"1","language":[{"iso":"eng"}],"publication_status":"published","abstract":[{"text":"We study the eigenvalue trajectories of a time dependent matrix Gt=H+itvv∗ for t≥0, where H is an N×N Hermitian random matrix and v is a unit vector. In particular, we establish that with high probability, an outlier can be distinguished at all times t>1+N−1/3+ϵ, for any ϵ>0. The study of this natural process combines elements of Hermitian and non-Hermitian analysis, and illustrates some aspects of the intrinsic instability of (even weakly) non-Hermitian matrices.","lang":"eng"}],"quality_controlled":"1","arxiv":1,"oa_version":"Published Version","doi":"10.1214/23-ECP516","day":"08","publisher":"Institute of Mathematical Statistics","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication_identifier":{"eissn":["1083-589X"]},"department":[{"_id":"LaEr"}],"year":"2023","author":[{"first_name":"Guillaume","id":"D5C6A458-10C4-11EA-ABF4-A4B43DDC885E","orcid":"0000-0001-6892-8137","full_name":"Dubach, Guillaume","last_name":"Dubach"},{"last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"}],"isi":1,"scopus_import":"1","volume":28,"intvolume":"        28","oa":1,"acknowledgement":"G. Dubach gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. L. Erdős is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"1-13","publication":"Electronic Communications in Probability","file_date_updated":"2023-02-27T09:43:27Z","external_id":{"isi":["000950650200005"],"arxiv":["2108.13694"]},"date_created":"2023-02-26T23:01:01Z","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"_id":"12683","month":"02","date_updated":"2023-10-17T12:48:10Z","title":"Dynamics of a rank-one perturbation of a Hermitian matrix","ec_funded":1,"article_processing_charge":"No","date_published":"2023-02-08T00:00:00Z"},{"article_type":"original","ddc":["510"],"type":"journal_article","citation":{"apa":"Dello Schiavo, L., &#38; Lytvynov, E. (2023). A Mecke-type characterization of the Dirichlet–Ferguson measure. <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/23-ECP528\">https://doi.org/10.1214/23-ECP528</a>","short":"L. Dello Schiavo, E. Lytvynov, Electronic Communications in Probability 28 (2023) 1–12.","ieee":"L. Dello Schiavo and E. Lytvynov, “A Mecke-type characterization of the Dirichlet–Ferguson measure,” <i>Electronic Communications in Probability</i>, vol. 28. Institute of Mathematical Statistics, pp. 1–12, 2023.","ama":"Dello Schiavo L, Lytvynov E. A Mecke-type characterization of the Dirichlet–Ferguson measure. <i>Electronic Communications in Probability</i>. 2023;28:1-12. doi:<a href=\"https://doi.org/10.1214/23-ECP528\">10.1214/23-ECP528</a>","chicago":"Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.” <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics, 2023. <a href=\"https://doi.org/10.1214/23-ECP528\">https://doi.org/10.1214/23-ECP528</a>.","ista":"Dello Schiavo L, Lytvynov E. 2023. A Mecke-type characterization of the Dirichlet–Ferguson measure. Electronic Communications in Probability. 28, 1–12.","mla":"Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.” <i>Electronic Communications in Probability</i>, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–12, doi:<a href=\"https://doi.org/10.1214/23-ECP528\">10.1214/23-ECP528</a>."},"file":[{"date_updated":"2023-06-19T09:37:40Z","content_type":"application/pdf","file_size":271434,"relation":"main_file","checksum":"4a543fe4b3f9e747cc52167c17bfb524","success":1,"access_level":"open_access","file_name":"2023_ElectronCommProbability_Schiavo.pdf","file_id":"13152","creator":"dernst","date_created":"2023-06-19T09:37:40Z"}],"quality_controlled":"1","status":"public","has_accepted_license":"1","language":[{"iso":"eng"}],"publication_status":"published","abstract":[{"text":"We prove a characterization of the Dirichlet–Ferguson measure over an arbitrary finite diffuse measure space. We provide an interpretation of this characterization in analogy with the Mecke identity for Poisson point processes.","lang":"eng"}],"day":"05","publisher":"Institute of Mathematical Statistics","oa_version":"Published Version","doi":"10.1214/23-ECP528","year":"2023","isi":1,"author":[{"first_name":"Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo","orcid":"0000-0002-9881-6870"},{"first_name":"Eugene","full_name":"Lytvynov, Eugene","last_name":"Lytvynov"}],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication_identifier":{"eissn":["1083-589X"]},"department":[{"_id":"JaMa"}],"scopus_import":"1","intvolume":"        28","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","acknowledgement":"Research supported by the Sfb 1060 The Mathematics of Emergent Effects (University of Bonn). L.D.S. gratefully acknowledges funding of his current position by the Austrian Science Fund (FWF) through project ESPRIT 208.","volume":28,"external_id":{"isi":["001042025400001"]},"date_created":"2023-06-18T22:00:48Z","project":[{"_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208","name":"Configuration Spaces over Non-Smooth Spaces"}],"_id":"13145","page":"1-12","publication":"Electronic Communications in Probability","file_date_updated":"2023-06-19T09:37:40Z","article_processing_charge":"No","date_published":"2023-05-05T00:00:00Z","month":"05","title":"A Mecke-type characterization of the Dirichlet–Ferguson measure","date_updated":"2023-12-13T11:24:57Z"}]